Final answer:
A mapping diagram can represent a function but not a relation. In a function, each input has only one output, whereas in a relation, an input can have multiple outputs.
Step-by-step explanation:
A mapping diagram can represent a function but not a relation.
A mapping diagram is a visual representation of the relationship between the input and output values of a function. It shows how each input corresponds to a unique output. In a function, each input has only one output, whereas in a relation, an input can have multiple outputs.
For example, consider the function f(x) = x^2. The mapping diagram would show that for each input value x, the function produces a unique output value x^2. However, in a relation, such as {(1, 2), (1, -2)}, the input value 1 is associated with both 2 and -2, which violates the definition of a function.
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